If k is a rational constant not equal to 11 , which of the following graphs could represent the equation y+5=k(x+y)+5y+5=k(x+y)+5 y+5=k(x+y)+5 y, plus, 5, equals, k, (, x, plus, y, ), plus, 5 ?

Slope: y is a straight line through the origin with a slope of

All the options (A) (B) and (D) are valid and represent the equation unless otherwise any other condition is provided.

Correction in Problem Statement:

If k is a rational constant not equal to 1 , which of the following graphs could represent the equation  y+5 = k (x+y) + 5.

I have uploaded a picture of answer choices.

Step-by-step explanation:

To solve this problem , we do not need visual representation of the graphs.

Simply, as we are given the equation in form y = mx +c :

y+5 = k (x+y) + 5

y+5-5 = k(x+y)

y = k(x+y)

y = kx+ky

y-ky=kx

y(1-k)= kx

Since , we are given that k is not equal to 1, it leads to many possibilities depending on the value of k but not vertical, which means that:

y is a straight line through the origin with a slope of

Option (C) is not possible as the straight line does not pass through origin.

Other than that, All options (A), (B) and (D) are valid based on the current information provided with the question.

Option (A) has slope of 3, Option (B) has a slope of , Option (D) has a slope of -3

So various values of k for these options will be as  follows;

(A)

k=3-3k

(B)

k= -0.5

(D)

All the options (A) (B) and (D) are valid and represent the equation unless otherwise any other condition is provided.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!